In our published paper there is an error in the order of the rows in Tables 1 through 6. We stated in the paper that the components are sorted in the order of increasing wavelengths in the linear Zeeman splitting (LZS) regime. However, in the published tables the values for the σ+ and σ- components appear reversed. As a result, researchers trying to implement our polynomial approximants might apply the incomplete Paschen-Back splitting (IPBS) corrections to the wrong components. To avoid any possible confusion, here we reproduce the tables with the correct sorting (i.e., in the order of increasing wavelengths in the LZS regime). For clarity, we have also replaced the σ+/- notation with σred/blue. We thank Rebecca Centeno for bringing this error to our attention.